In paper the results of using of vague set’s theory for optimal solution construction of equations describing states of biomechanical systems are presented. Parameters of such states are found in accordance to some belonging function being determinable on parameter’s set of movements. The peculiarities of vague set’s theory being used in practice of sport are discussed in paper too.
The approach to construction of effective sportsman movement realized on base of vague set’s theory is considered in paper. On set of mechanical states of sportsman the function of belonging to vague set let determinate optimal state of sportsman, i.e. let find optimal sportsman’s movements. This approach has been approbated as the solving problems of finding of mechanical energy of biomechanical links in a final stage of interaction of the sportsmen with a take off board. The results of this modeling are presented in paper.
In paper the results of modeling of biomechanical systems movements are presented. It’s discussed the biomechanical oscillator movements and mathematical descriptions of its motions properties. It’s shown that the equations of biomechanical oscillator include themselves the equation of mechanical oscillator with parametric themselves exciting and equations set describing biochemical reactions of cycle of hydrolyze ATP. To realize the modeling of sports movements the approach being based on vague set’s theory is recommended. In paper this approach has been approbated to calculate movement’s parameters of final phase of pushing away in broad jumps.
The approach to construction of value of pedagogical process results is considered in paper. This valuation was realized accordingly vague set’s theory. To determinate a valuation of result of pedagogical process the function of belonging to vague set has been considered as an exponential function of distribution (without normalization), i.e. to describe the pedagogical process Poisson process has been used. The results of such valuation are presented in paper.
The problems of constructions of computer’s models of waves systems are discussed in paper. According to this model the field of waves systems is considered as superposition of stochastic waves systems. To compare the results of modeling with experimental ones the spectra of high resolution were calculated. As a practice results the group structure of diffracted waves systems is considered too.
The results of modeling of diffracted waves in ports having complicated configurations are discussed in paper. The wave’s diffractions are considered according to Ch. Huygens and A. Fresnel principle. To model the harmonic oscillations with phases being stochastic functions of times are considered. The results of modeling are compared with experimental ones.
This paper is directed to studying of wide range of problems connected with constructions of effective system of interactions between students and teachers during teaching process. In accordance with that pedagogical process is Poisson’s process the problems of operations researches in pedagogic are discussed in paper.
Comparisons of modeling of characteristics of pedagogical processes and experimental data are represented in paper too.
The results of analytic researches of stationary stochastic movements of oscillator are represented in this paper. It's shown that using of conception of "probability of realization of conservative states" allow to simplify the description of oscillation processes for that the basic parameters of autocorrelation functions of this processes may be presented as a result of Poisson process. It's shown too that the determination "monochromatic degree" as oscillation parameters for some stochastic oscillations processes let to do rank-order of processes based of difference physical natures. In paper some examples of practice applications of researches results are presented.
In paper the results of control's effectiveness of some parts of studies course is presented. It is shown that process of teaching of every part of course as a whole too can be considered as a Poisson process. Parameters of such process can be determined in real time scale by least - square method. In this case the control teaching process in real time can be realized. According to such process the estimation of probability of studies is found.
The results of comparisons of theoretic researches and experimental ones are presented in paper.
The comparisons results of stochastic data distribution in accordance with normal distribution law and of Fourier integral
transformations of data are presented in paper. It has been shown that integral transformations of Fourier may be represented
as a normal law with accuracy better then 90%. It has been shown too that Poisson distribution may be obtained as resolution of Mac Loren row.